Solve 7(x-3)-10=2(3x-5)-3(-7x+4 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$7(x-3)-10=2(3x-5)-3(-7x+4$$

Solve for x

$x=-\frac{9}{20}=-0.45$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $x-3$.

$$7x-21-10=2\left(3x-5\right)-3\left(-7x+4\right)$$

Subtract $10$ from $-21$ to get $-31$.

$$7x-31=2\left(3x-5\right)-3\left(-7x+4\right)$$

Use the distributive property to multiply $2$ by $3x-5$.

$$7x-31=6x-10-3\left(-7x+4\right)$$

Use the distributive property to multiply $-3$ by $-7x+4$.

$$7x-31=6x-10+21x-12$$

Combine $6x$ and $21x$ to get $27x$.

$$7x-31=27x-10-12$$

Subtract $12$ from $-10$ to get $-22$.

$$7x-31=27x-22$$

Subtract $27x$ from both sides.

$$7x-31-27x=-22$$

Combine $7x$ and $-27x$ to get $-20x$.

$$-20x-31=-22$$

Add $31$ to both sides.

$$-20x=-22+31$$

Add $-22$ and $31$ to get $9$.

$$-20x=9$$

Divide both sides by $-20$.

$$x=\frac{9}{-20}$$

Fraction $\frac{9}{-20}$ can be rewritten as $-\frac{9}{20}$ by extracting the negative sign.

$$x=-\frac{9}{20}$$